In this paper, a composite patch antenna based on lefthanded material (LHM) with near zero index (NZI) is presented.This composite patch antenna is designed by assembling splitresonant rings (SRRs) and metal strips on the substrates. Thismultilayer composite structure results in a metamaterial with NZInear 13.89 GHz. A method of finite difference time domain(FDTD) is used. The results show that the composite antenna’sgain improves 0.61 times, and its bandwidth adds 2.95 timescompared to the conventional antenna’s ones. The results indicatethat this composite patch antenna system can reduce return loss ofthe antenna and increase the gain obviously.